12a
1232
(K12a
1232
)
A knot diagram
1
Linearized knot diagam
5 6 8 1 10 12 11 4 2 3 7 9
Solving Sequence
6,12 3,7
2 11 8 4 10 5 1 9
c
6
c
2
c
11
c
7
c
3
c
10
c
5
c
1
c
9
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h2.89325 × 10
306
u
118
+ 3.49433 × 10
305
u
117
+ ··· + 7.17437 × 10
304
b − 1.65991 × 10
307
,
5.97626 × 10
306
u
118
+ 1.91269 × 10
306
u
117
+ ··· + 7.17437 × 10
304
a − 2.59098 × 10
307
,
u
119
+ 60u
117
+ ··· − 29u + 1i
I
u
2
= h1182833u
25
− 1697022u
24
+ ··· + 999751b + 1307016,
699334u
25
− 115279u
24
+ ··· + 999751a − 710366, u
26
− u
25
+ ··· − 2u − 1i
* 2 irreducible components of dim
C
= 0, with total 145 representations.
1
The image of knot diagram is generated by the software “Draw programme” developed by An-
drew Bartholomew(http://www.layer8.co.uk/maths/draw/index.htm#Running-draw), where we modi-
fied some parts for our purpose(https://github.com/CATsTAILs/LinksPainter).
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
1
I. I
u
1
= h2.89 × 10
306
u
118
+ 3.49 × 10
305
u
117
+ · · · + 7.17 × 10
304
b − 1.66 ×
10
307
, 5.98 × 10
306
u
118
+ 1.91 × 10
306
u
117
+ · · · + 7.17 × 10
304
a − 2.59 ×
10
307
, u
119
+ 60u
117
+ · · · − 29u + 1i
(i) Arc colorings
a
6
=
1
0
a
12
=
0
u
a
3
=
−83.3000u
118
− 26.6600u
117
+ ··· − 8081.92u + 361.144
−40.3276u
118
− 4.87057u
117
+ ··· − 5447.13u + 231.367
a
7
=
1
−u
2
a
2
=
−42.9724u
118
− 21.7895u
117
+ ··· − 2634.78u + 129.777
−40.3276u
118
− 4.87057u
117
+ ··· − 5447.13u + 231.367
a
11
=
−u
u
3
+ u
a
8
=
u
2
+ 1
−u
4
− 2u
2
a
4
=
−22.7499u
118
− 16.3719u
117
+ ··· − 809.600u + 57.3880
−43.6735u
118
− 5.12507u
117
+ ··· − 5969.86u + 253.459
a
10
=
251.367u
118
+ 57.0280u
117
+ ··· + 24863.9u − 978.564
11.0833u
118
+ 1.80824u
117
+ ··· + 1574.85u − 65.1638
a
5
=
−244.071u
118
− 67.7073u
117
+ ··· − 21891.1u + 883.760
−33.8994u
118
− 5.61169u
117
+ ··· − 4226.54u + 172.113
a
1
=
233.063u
118
+ 65.0804u
117
+ ··· + 20760.4u − 837.137
37.1734u
118
+ 5.78030u
117
+ ··· + 4678.97u − 191.478
a
9
=
197.686u
118
+ 37.0655u
117
+ ··· + 23253.8u − 939.916
−16.1524u
118
− 1.71445u
117
+ ··· − 2346.84u + 105.264
(ii) Obstruction class = −1
(iii) Cusp Shapes = 181.233u
118
+ 10.2983u
117
+ ··· + 32671.8u − 1505.80
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
119
− 3u
118
+ ··· + 27u + 1
c
2
u
119
− 2u
118
+ ··· + 6606u + 599
c
3
, c
8
u
119
− 2u
118
+ ··· + 4224u + 256
c
5
u
119
− 2u
118
+ ··· + 35541u − 6657
c
6
, c
7
, c
11
u
119
+ 60u
117
+ ··· − 29u − 1
c
9
u
119
− 2u
118
+ ··· + 336u + 32
c
10
u
119
− 3u
118
+ ··· − 8551161u − 339289
c
12
u
119
+ 30u
117
+ ··· + 3540492u − 1096431
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
119
− 97y
118
+ ··· − 215y −1
c
2
y
119
+ 12y
118
+ ··· − 5057068y −358801
c
3
, c
8
y
119
− 92y
118
+ ··· + 14237696y −65536
c
5
y
119
− 30y
118
+ ··· + 3233514855y −44315649
c
6
, c
7
, c
11
y
119
+ 120y
118
+ ··· + 91y −1
c
9
y
119
+ 32y
118
+ ··· − 17664y −1024
c
10
y
119
− 59y
118
+ ··· + 46085256831797y −115117025521
c
12
y
119
+ 60y
118
+ ··· − 19447210016610y −1202160937761
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.591023 + 0.831885I
a = 0.047144 + 0.336442I
b = −1.01813 − 1.09825I
−8.32691 − 5.97177I 0
u = −0.591023 − 0.831885I
a = 0.047144 − 0.336442I
b = −1.01813 + 1.09825I
−8.32691 + 5.97177I 0
u = 0.929575 + 0.429042I
a = 0.278050 − 0.303252I
b = −0.021658 − 0.248649I
−2.48998 + 0.81239I 0
u = 0.929575 − 0.429042I
a = 0.278050 + 0.303252I
b = −0.021658 + 0.248649I
−2.48998 − 0.81239I 0
u = −0.878703 + 0.541598I
a = 0.859638 + 0.663822I
b = −1.10195 + 1.05798I
−8.0032 − 13.9385I 0
u = −0.878703 − 0.541598I
a = 0.859638 − 0.663822I
b = −1.10195 − 1.05798I
−8.0032 + 13.9385I 0
u = −1.040530 + 0.281693I
a = 1.41699 + 0.17592I
b = −1.71346 + 0.91872I
−6.32387 + 0.55372I 0
u = −1.040530 − 0.281693I
a = 1.41699 − 0.17592I
b = −1.71346 − 0.91872I
−6.32387 − 0.55372I 0
u = 0.759955 + 0.784286I
a = 0.189923 + 0.583218I
b = 0.454075 + 0.072889I
−3.85449 + 4.96150I 0
u = 0.759955 − 0.784286I
a = 0.189923 − 0.583218I
b = 0.454075 − 0.072889I
−3.85449 − 4.96150I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.938198 + 0.565758I
a = −0.840420 − 0.416741I
b = 1.01130 − 1.18706I
−2.40547 − 7.97541I 0
u = −0.938198 − 0.565758I
a = −0.840420 + 0.416741I
b = 1.01130 + 1.18706I
−2.40547 + 7.97541I 0
u = 0.254868 + 0.867341I
a = −0.662773 − 0.261601I
b = −0.910213 + 0.623377I
0.531296 − 1.118430I 0
u = 0.254868 − 0.867341I
a = −0.662773 + 0.261601I
b = −0.910213 − 0.623377I
0.531296 + 1.118430I 0
u = −0.860183 + 0.680504I
a = −0.271297 + 0.232206I
b = −0.816520 − 1.081920I
−8.36465 + 8.14127I 0
u = −0.860183 − 0.680504I
a = −0.271297 − 0.232206I
b = −0.816520 + 1.081920I
−8.36465 − 8.14127I 0
u = 0.514362 + 1.042610I
a = 0.762760 + 0.248966I
b = 0.376032 − 0.566846I
−3.91604 + 4.65546I 0
u = 0.514362 − 1.042610I
a = 0.762760 − 0.248966I
b = 0.376032 + 0.566846I
−3.91604 − 4.65546I 0
u = −0.831661
a = −0.447104
b = 0.545531
1.62981 0
u = 0.617128 + 0.557033I
a = −0.373648 + 1.101410I
b = 0.645942 + 0.638367I
−3.70214 + 3.85902I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.617128 − 0.557033I
a = −0.373648 − 1.101410I
b = 0.645942 − 0.638367I
−3.70214 − 3.85902I 0
u = 0.662911 + 0.486859I
a = 0.651270 − 0.915729I
b = −0.467298 − 0.951647I
−8.36947 + 5.21328I 0
u = 0.662911 − 0.486859I
a = 0.651270 + 0.915729I
b = −0.467298 + 0.951647I
−8.36947 − 5.21328I 0
u = 0.026248 + 1.183780I
a = 1.42598 + 0.72188I
b = −0.136361 − 0.409768I
−7.35451 − 5.52858I 0
u = 0.026248 − 1.183780I
a = 1.42598 − 0.72188I
b = −0.136361 + 0.409768I
−7.35451 + 5.52858I 0
u = 0.503026 + 0.641170I
a = 0.00117 − 1.61623I
b = −0.931842 − 0.533648I
−6.66685 + 3.36692I 0
u = 0.503026 − 0.641170I
a = 0.00117 + 1.61623I
b = −0.931842 + 0.533648I
−6.66685 − 3.36692I 0
u = −0.481513 + 1.086760I
a = −0.030737 − 0.313607I
b = 0.601979 − 0.325771I
−1.54373 − 4.64229I 0
u = −0.481513 − 1.086760I
a = −0.030737 + 0.313607I
b = 0.601979 + 0.325771I
−1.54373 + 4.64229I 0
u = −0.910620 + 0.774844I
a = 0.347935 − 0.275750I
b = 0.65714 + 1.37806I
−2.92800 + 1.74319I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.910620 − 0.774844I
a = 0.347935 + 0.275750I
b = 0.65714 − 1.37806I
−2.92800 − 1.74319I 0
u = 0.134503 + 0.759809I
a = −1.048930 − 0.154825I
b = 0.334044 + 0.899616I
−1.51344 − 1.60308I 0
u = 0.134503 − 0.759809I
a = −1.048930 + 0.154825I
b = 0.334044 − 0.899616I
−1.51344 + 1.60308I 0
u = −0.651277 + 0.410844I
a = 0.121534 + 0.601571I
b = −0.672685 + 0.188026I
0.31785 − 2.06901I 0
u = −0.651277 − 0.410844I
a = 0.121534 − 0.601571I
b = −0.672685 − 0.188026I
0.31785 + 2.06901I 0
u = 0.637309 + 0.424902I
a = −0.773608 + 0.372483I
b = −0.298804 + 0.749974I
−8.28201 − 0.92421I 0
u = 0.637309 − 0.424902I
a = −0.773608 − 0.372483I
b = −0.298804 − 0.749974I
−8.28201 + 0.92421I 0
u = 0.368271 + 0.658976I
a = 0.943588 + 0.048235I
b = 0.861584 − 0.736406I
−2.98116 − 5.40207I 0
u = 0.368271 − 0.658976I
a = 0.943588 − 0.048235I
b = 0.861584 + 0.736406I
−2.98116 + 5.40207I 0
u = −0.241125 + 1.258970I
a = −0.564327 − 0.615697I
b = 0.744666 − 0.214876I
−1.98462 − 3.32511I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.241125 − 1.258970I
a = −0.564327 + 0.615697I
b = 0.744666 + 0.214876I
−1.98462 + 3.32511I 0
u = 0.605698 + 0.366147I
a = −0.861264 + 0.880738I
b = 1.04506 + 0.98985I
−2.03512 + 8.97085I 0
u = 0.605698 − 0.366147I
a = −0.861264 − 0.880738I
b = 1.04506 − 0.98985I
−2.03512 − 8.97085I 0
u = −0.166818 + 1.294900I
a = 1.151150 + 0.222395I
b = −0.712514 + 0.315471I
−6.06217 − 4.53983I 0
u = −0.166818 − 1.294900I
a = 1.151150 − 0.222395I
b = −0.712514 − 0.315471I
−6.06217 + 4.53983I 0
u = −0.120884 + 1.327580I
a = −0.35980 − 1.40170I
b = 0.217292 − 0.220142I
−2.23327 − 2.51869I 0
u = −0.120884 − 1.327580I
a = −0.35980 + 1.40170I
b = 0.217292 + 0.220142I
−2.23327 + 2.51869I 0
u = 0.571093 + 0.340077I
a = 1.053790 − 0.767289I
b = −1.10538 − 0.88887I
1.94608 + 4.33794I 0
u = 0.571093 − 0.340077I
a = 1.053790 + 0.767289I
b = −1.10538 + 0.88887I
1.94608 − 4.33794I 0
u = −0.057455 + 1.348540I
a = 0.02930 + 1.77735I
b = 0.214941 + 0.235472I
−5.78869 + 0.62760I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.057455 − 1.348540I
a = 0.02930 − 1.77735I
b = 0.214941 − 0.235472I
−5.78869 − 0.62760I 0
u = −0.636266 + 0.018138I
a = −1.194210 − 0.458376I
b = 0.565733 + 0.080646I
1.85506 + 0.08588I 0
u = −0.636266 − 0.018138I
a = −1.194210 + 0.458376I
b = 0.565733 − 0.080646I
1.85506 − 0.08588I 0
u = −0.021921 + 1.412250I
a = −0.69650 − 3.75238I
b = −0.72366 − 3.51990I
−8.25856 + 0.30428I 0
u = −0.021921 − 1.412250I
a = −0.69650 + 3.75238I
b = −0.72366 + 3.51990I
−8.25856 − 0.30428I 0
u = −0.258157 + 0.517897I
a = −0.314448 + 0.579498I
b = −0.540503 + 0.493848I
0.062363 − 1.273300I 0
u = −0.258157 − 0.517897I
a = −0.314448 − 0.579498I
b = −0.540503 − 0.493848I
0.062363 + 1.273300I 0
u = 0.04031 + 1.42700I
a = 0.929315 + 0.791738I
b = 1.68565 + 0.62103I
−7.25607 − 0.01809I 0
u = 0.04031 − 1.42700I
a = 0.929315 − 0.791738I
b = 1.68565 − 0.62103I
−7.25607 + 0.01809I 0
u = 0.05079 + 1.43415I
a = 0.184273 − 0.284520I
b = −1.217520 − 0.235372I
−4.69275 + 3.59509I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.05079 − 1.43415I
a = 0.184273 + 0.284520I
b = −1.217520 + 0.235372I
−4.69275 − 3.59509I 0
u = 0.01595 + 1.44083I
a = 1.61897 − 1.36902I
b = 1.96434 − 1.03754I
−7.70307 + 0.43252I 0
u = 0.01595 − 1.44083I
a = 1.61897 + 1.36902I
b = 1.96434 + 1.03754I
−7.70307 − 0.43252I 0
u = 0.05041 + 1.44086I
a = −0.689485 − 0.103391I
b = 1.084470 + 0.136647I
−9.32231 + 7.31791I 0
u = 0.05041 − 1.44086I
a = −0.689485 + 0.103391I
b = 1.084470 − 0.136647I
−9.32231 − 7.31791I 0
u = 0.557225
a = 0.0193469
b = −1.31410
−4.86433 2.86400
u = −0.22188 + 1.42957I
a = −0.118268 + 1.125370I
b = −0.625169 + 0.517732I
−5.55217 − 5.25684I 0
u = −0.22188 − 1.42957I
a = −0.118268 − 1.125370I
b = −0.625169 − 0.517732I
−5.55217 + 5.25684I 0
u = 0.04350 + 1.45713I
a = −0.63772 + 1.50879I
b = −1.082230 + 0.548323I
−13.38820 + 0.81730I 0
u = 0.04350 − 1.45713I
a = −0.63772 − 1.50879I
b = −1.082230 − 0.548323I
−13.38820 − 0.81730I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.528301
a = 0.390274
b = 0.830129
−2.57760 −9.17750
u = −0.03806 + 1.47195I
a = −0.45788 + 1.74878I
b = −0.500311 + 1.271440I
−6.29840 − 2.04801I 0
u = −0.03806 − 1.47195I
a = −0.45788 − 1.74878I
b = −0.500311 − 1.271440I
−6.29840 + 2.04801I 0
u = 0.16944 + 1.46677I
a = 0.29323 + 1.73137I
b = 1.41944 + 0.86687I
−8.31951 + 2.00416I 0
u = 0.16944 − 1.46677I
a = 0.29323 − 1.73137I
b = 1.41944 − 0.86687I
−8.31951 − 2.00416I 0
u = 0.17918 + 1.46604I
a = −0.36401 − 1.98590I
b = −1.30593 − 1.21078I
−3.97415 + 7.00684I 0
u = 0.17918 − 1.46604I
a = −0.36401 + 1.98590I
b = −1.30593 + 1.21078I
−3.97415 − 7.00684I 0
u = 0.19485 + 1.46412I
a = 0.27613 + 2.10943I
b = 1.16791 + 1.31696I
−7.9944 + 11.8379I 0
u = 0.19485 − 1.46412I
a = 0.27613 − 2.10943I
b = 1.16791 − 1.31696I
−7.9944 − 11.8379I 0
u = 0.28158 + 1.46280I
a = −0.745256 + 1.108810I
b = 0.116123 + 0.770788I
−14.2158 + 2.5074I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.28158 − 1.46280I
a = −0.745256 − 1.108810I
b = 0.116123 − 0.770788I
−14.2158 − 2.5074I 0
u = 0.415476 + 0.247825I
a = −1.013440 − 0.324156I
b = 0.953135 + 0.672474I
−1.89504 − 1.11164I 1.40333 + 1.47744I
u = 0.415476 − 0.247825I
a = −1.013440 + 0.324156I
b = 0.953135 − 0.672474I
−1.89504 + 1.11164I 1.40333 − 1.47744I
u = 0.23466 + 1.50340I
a = 0.27500 − 1.83384I
b = −0.545370 − 1.149990I
−14.8499 + 8.5093I 0
u = 0.23466 − 1.50340I
a = 0.27500 + 1.83384I
b = −0.545370 + 1.149990I
−14.8499 − 8.5093I 0
u = −0.474600 + 0.055730I
a = 2.06366 − 1.96246I
b = −0.297864 + 0.331525I
−1.89244 − 2.16716I 2.30593 + 6.36380I
u = −0.474600 − 0.055730I
a = 2.06366 + 1.96246I
b = −0.297864 − 0.331525I
−1.89244 + 2.16716I 2.30593 − 6.36380I
u = 0.407149 + 0.233846I
a = −2.38663 + 0.94353I
b = 1.029560 + 0.497453I
−2.62653 − 0.30445I −6.95283 − 7.49302I
u = 0.407149 − 0.233846I
a = −2.38663 − 0.94353I
b = 1.029560 − 0.497453I
−2.62653 + 0.30445I −6.95283 + 7.49302I
u = −0.01331 + 1.53266I
a = 0.70207 − 1.39377I
b = 0.683472 − 0.957463I
−10.39010 − 4.77458I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.01331 − 1.53266I
a = 0.70207 + 1.39377I
b = 0.683472 + 0.957463I
−10.39010 + 4.77458I 0
u = 0.22101 + 1.52748I
a = 0.01541 + 1.66790I
b = 0.700855 + 0.919045I
−10.52310 + 6.99423I 0
u = 0.22101 − 1.52748I
a = 0.01541 − 1.66790I
b = 0.700855 − 0.919045I
−10.52310 − 6.99423I 0
u = 0.18883 + 1.55710I
a = −0.33907 − 1.67862I
b = −0.862950 − 0.758452I
−13.9494 + 6.0462I 0
u = 0.18883 − 1.55710I
a = −0.33907 + 1.67862I
b = −0.862950 + 0.758452I
−13.9494 − 6.0462I 0
u = 0.31565 + 1.54001I
a = 0.231980 − 0.980002I
b = −0.340835 − 0.610925I
−8.96711 + 5.30293I 0
u = 0.31565 − 1.54001I
a = 0.231980 + 0.980002I
b = −0.340835 + 0.610925I
−8.96711 − 5.30293I 0
u = −0.30992 + 1.55607I
a = 0.02307 + 1.74012I
b = −1.31776 + 1.13652I
−14.8309 − 18.2934I 0
u = −0.30992 − 1.55607I
a = 0.02307 − 1.74012I
b = −1.31776 − 1.13652I
−14.8309 + 18.2934I 0
u = −0.16255 + 1.58538I
a = −0.87747 − 1.33760I
b = −0.92126 − 1.73717I
−16.2984 − 8.6510I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.16255 − 1.58538I
a = −0.87747 + 1.33760I
b = −0.92126 + 1.73717I
−16.2984 + 8.6510I 0
u = −0.31935 + 1.57309I
a = −0.03812 − 1.63961I
b = 1.33515 − 1.22468I
−9.3806 − 12.5591I 0
u = −0.31935 − 1.57309I
a = −0.03812 + 1.63961I
b = 1.33515 + 1.22468I
−9.3806 + 12.5591I 0
u = 0.26564 + 1.60378I
a = 0.212361 + 1.045510I
b = 0.584964 + 0.515464I
−11.6412 + 8.8735I 0
u = 0.26564 − 1.60378I
a = 0.212361 − 1.045510I
b = 0.584964 − 0.515464I
−11.6412 − 8.8735I 0
u = −0.41085 + 1.58525I
a = 0.12577 + 1.53275I
b = −1.84219 + 1.27507I
−12.44770 − 4.97409I 0
u = −0.41085 − 1.58525I
a = 0.12577 − 1.53275I
b = −1.84219 − 1.27507I
−12.44770 + 4.97409I 0
u = −0.22405 + 1.63859I
a = −0.612798 − 0.975425I
b = −0.49612 − 1.37066I
−16.2469 + 4.0696I 0
u = −0.22405 − 1.63859I
a = −0.612798 + 0.975425I
b = −0.49612 + 1.37066I
−16.2469 − 4.0696I 0
u = −0.17895 + 1.64890I
a = 0.599878 + 1.274540I
b = 0.50996 + 1.83509I
−11.42610 − 2.22065I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.17895 − 1.64890I
a = 0.599878 − 1.274540I
b = 0.50996 − 1.83509I
−11.42610 + 2.22065I 0
u = −0.163226 + 0.233600I
a = 0.647394 − 0.912052I
b = 0.23639 − 1.44563I
−3.02302 + 0.92759I −16.4734 + 13.4457I
u = −0.163226 − 0.233600I
a = 0.647394 + 0.912052I
b = 0.23639 + 1.44563I
−3.02302 − 0.92759I −16.4734 − 13.4457I
u = 0.223493 + 0.145601I
a = 3.91291 + 2.79472I
b = −0.731943 − 0.378521I
0.63117 + 2.73482I 4.06228 − 7.56761I
u = 0.223493 − 0.145601I
a = 3.91291 − 2.79472I
b = −0.731943 + 0.378521I
0.63117 − 2.73482I 4.06228 + 7.56761I
u = 0.186898 + 0.120104I
a = −5.16636 − 6.62078I
b = 0.688517 + 0.325209I
−3.96488 + 6.53995I 4.08042 − 8.20161I
u = 0.186898 − 0.120104I
a = −5.16636 + 6.62078I
b = 0.688517 − 0.325209I
−3.96488 − 6.53995I 4.08042 + 8.20161I
u = 0.193994
a = −7.22223
b = −0.820442
−8.08181 −11.4190
u = 0.155376
a = 2.35334
b = 1.49630
−2.45224 −30.3120
16
II. I
u
2
= h1.18 × 10
6
u
25
− 1.70 × 10
6
u
24
+ · · · + 1.00 × 10
6
b + 1.31 × 10
6
, 6.99 ×
10
5
u
25
− 1.15 × 10
5
u
24
+ · · · + 1.00 × 10
6
a − 7.10 × 10
5
, u
26
− u
25
+ · · · − 2u − 1i
(i) Arc colorings
a
6
=
1
0
a
12
=
0
u
a
3
=
−0.699508u
25
+ 0.115308u
24
+ ··· + 2.44780u + 0.710543
−1.18313u
25
+ 1.69744u
24
+ ··· + 0.755925u − 1.30734
a
7
=
1
−u
2
a
2
=
0.483619u
25
− 1.58214u
24
+ ··· + 1.69188u + 2.01788
−1.18313u
25
+ 1.69744u
24
+ ··· + 0.755925u − 1.30734
a
11
=
−u
u
3
+ u
a
8
=
u
2
+ 1
−u
4
− 2u
2
a
4
=
−1.34719u
25
+ 1.12802u
24
+ ··· + 2.92028u + 0.855845
−0.872567u
25
+ 1.32808u
24
+ ··· + 0.999658u − 1.43425
a
10
=
−0.692340u
25
+ 1.51595u
24
+ ··· + 4.24471u + 0.476967
−0.312059u
25
+ 0.234258u
24
+ ··· + 2.42780u + 0.800910
a
5
=
−1.31393u
25
− 0.798396u
24
+ ··· + 10.0988u + 5.81141
0.109095u
25
− 0.0590167u
24
+ ··· + 2.33029u + 0.702249
a
1
=
−0.399081u
25
− 1.97885u
24
+ ··· + 8.79390u + 5.58117
−0.310036u
25
+ 1.13491u
24
+ ··· + 2.22230u + 0.190208
a
9
=
−1.70690u
25
+ 1.91267u
24
+ ··· + 4.45269u − 0.655580
−0.312059u
25
+ 0.234258u
24
+ ··· + 0.427805u − 0.199090
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
5221017
999751
u
25
+
13972069
999751
u
24
+ ··· −
8621882
999751
u −
13731564
999751
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
26
+ 4u
25
+ ··· + 2u − 1
c
2
u
26
− 5u
25
+ ··· − 3u + 1
c
3
u
26
+ u
25
+ ··· + 3u + 1
c
4
u
26
− 4u
25
+ ··· − 2u − 1
c
5
u
26
− u
25
+ ··· − 6u
2
+ 1
c
6
, c
7
u
26
− u
25
+ ··· − 2u − 1
c
8
u
26
− u
25
+ ··· − 3u + 1
c
9
u
26
− u
25
+ ··· + 13u
2
− 1
c
10
u
26
+ u
24
+ ··· + 2u − 1
c
11
u
26
+ u
25
+ ··· + 2u − 1
c
12
u
26
+ 3u
25
+ ··· − 3u − 1
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
26
− 24y
25
+ ··· + 14y + 1
c
2
y
26
+ 5y
25
+ ··· − 13y + 1
c
3
, c
8
y
26
− 7y
25
+ ··· − 15y + 1
c
5
y
26
− y
25
+ ··· − 12y + 1
c
6
, c
7
, c
11
y
26
+ 25y
25
+ ··· + 4y + 1
c
9
y
26
+ 21y
25
+ ··· − 26y + 1
c
10
y
26
+ 2y
25
+ ··· − 14y + 1
c
12
y
26
+ 21y
25
+ ··· + 65y + 1
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.943663
a = −1.74187
b = 1.68335
−6.46795 −10.5950
u = −0.262117 + 0.794880I
a = 1.206650 − 0.607794I
b = 0.636935 + 0.707784I
−0.29611 + 1.84881I −2.20099 − 5.13154I
u = −0.262117 − 0.794880I
a = 1.206650 + 0.607794I
b = 0.636935 − 0.707784I
−0.29611 − 1.84881I −2.20099 + 5.13154I
u = −0.427225 + 1.116590I
a = −0.552298 − 0.157514I
b = 0.432472 − 0.380122I
−2.00627 − 4.23987I −6.89686 + 3.43816I
u = −0.427225 − 1.116590I
a = −0.552298 + 0.157514I
b = 0.432472 + 0.380122I
−2.00627 + 4.23987I −6.89686 − 3.43816I
u = 0.736758 + 0.948318I
a = −0.111244 − 0.374605I
b = −0.430583 − 0.402133I
−4.15027 + 5.36590I −6.6302 − 15.0637I
u = 0.736758 − 0.948318I
a = −0.111244 + 0.374605I
b = −0.430583 + 0.402133I
−4.15027 − 5.36590I −6.6302 + 15.0637I
u = −0.798164
a = −0.720467
b = 0.451395
1.31350 −10.8780
u = −0.042885 + 1.222100I
a = 1.67307 + 0.59418I
b = −0.768144 + 0.390201I
−6.94373 − 6.67014I −4.82849 + 8.01150I
u = −0.042885 − 1.222100I
a = 1.67307 − 0.59418I
b = −0.768144 − 0.390201I
−6.94373 + 6.67014I −4.82849 − 8.01150I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.178950 + 1.217590I
a = −0.818036 − 0.682512I
b = 0.772257 − 0.348218I
−1.91082 − 3.72292I −0.00835 + 12.45701I
u = −0.178950 − 1.217590I
a = −0.818036 + 0.682512I
b = 0.772257 + 0.348218I
−1.91082 + 3.72292I −0.00835 − 12.45701I
u = −0.189668 + 1.303550I
a = 0.008222 + 0.447989I
b = −0.934613 − 0.264739I
−6.27743 − 3.06539I −6.85778 + 2.47354I
u = −0.189668 − 1.303550I
a = 0.008222 − 0.447989I
b = −0.934613 + 0.264739I
−6.27743 + 3.06539I −6.85778 − 2.47354I
u = 0.582028 + 0.253462I
a = −0.0563762 + 0.0530277I
b = −0.945003 + 0.308953I
−2.17597 + 0.05862I 6.50604 − 2.22033I
u = 0.582028 − 0.253462I
a = −0.0563762 − 0.0530277I
b = −0.945003 − 0.308953I
−2.17597 − 0.05862I 6.50604 + 2.22033I
u = −0.01677 + 1.42907I
a = −1.36555 + 3.39416I
b = −1.54172 + 3.09921I
−8.10928 + 0.28326I −6.3171 + 26.2657I
u = −0.01677 − 1.42907I
a = −1.36555 − 3.39416I
b = −1.54172 − 3.09921I
−8.10928 − 0.28326I −6.3171 − 26.2657I
u = 0.028959 + 0.564258I
a = −2.77914 − 0.23608I
b = −0.634395 − 0.458952I
−4.55240 + 6.43356I −9.62563 − 6.14441I
u = 0.028959 − 0.564258I
a = −2.77914 + 0.23608I
b = −0.634395 + 0.458952I
−4.55240 − 6.43356I −9.62563 + 6.14441I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.32913 + 1.53078I
a = −0.14874 + 1.51913I
b = 1.27469 + 0.92809I
−11.90070 + 4.72608I −4.74884 − 1.80377I
u = 0.32913 − 1.53078I
a = −0.14874 − 1.51913I
b = 1.27469 − 0.92809I
−11.90070 − 4.72608I −4.74884 + 1.80377I
u = 0.19195 + 1.56700I
a = −0.255553 − 1.353580I
b = −0.434170 − 0.756346I
−12.3990 + 8.2757I −10.18523 − 5.61464I
u = 0.19195 − 1.56700I
a = −0.255553 + 1.353580I
b = −0.434170 + 0.756346I
−12.3990 − 8.2757I −10.18523 + 5.61464I
u = −0.323951 + 0.201932I
a = 1.93017 + 0.80624I
b = −0.995098 + 0.915085I
−2.49812 + 0.92147I −6.47033 + 0.38560I
u = −0.323951 − 0.201932I
a = 1.93017 − 0.80624I
b = −0.995098 − 0.915085I
−2.49812 − 0.92147I −6.47033 − 0.38560I
22
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
26
+ 4u
25
+ ··· + 2u − 1)(u
119
− 3u
118
+ ··· + 27u + 1)
c
2
(u
26
− 5u
25
+ ··· − 3u + 1)(u
119
− 2u
118
+ ··· + 6606u + 599)
c
3
(u
26
+ u
25
+ ··· + 3u + 1)(u
119
− 2u
118
+ ··· + 4224u + 256)
c
4
(u
26
− 4u
25
+ ··· − 2u − 1)(u
119
− 3u
118
+ ··· + 27u + 1)
c
5
(u
26
− u
25
+ ··· − 6u
2
+ 1)(u
119
− 2u
118
+ ··· + 35541u − 6657)
c
6
, c
7
(u
26
− u
25
+ ··· − 2u − 1)(u
119
+ 60u
117
+ ··· − 29u − 1)
c
8
(u
26
− u
25
+ ··· − 3u + 1)(u
119
− 2u
118
+ ··· + 4224u + 256)
c
9
(u
26
− u
25
+ ··· + 13u
2
− 1)(u
119
− 2u
118
+ ··· + 336u + 32)
c
10
(u
26
+ u
24
+ ··· + 2u − 1)(u
119
− 3u
118
+ ··· − 8551161u − 339289)
c
11
(u
26
+ u
25
+ ··· + 2u − 1)(u
119
+ 60u
117
+ ··· − 29u − 1)
c
12
(u
26
+ 3u
25
+ ··· − 3u − 1)
· (u
119
+ 30u
117
+ ··· + 3540492u − 1096431)
23
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
26
− 24y
25
+ ··· + 14y + 1)(y
119
− 97y
118
+ ··· − 215y −1)
c
2
(y
26
+ 5y
25
+ ··· − 13y + 1)
· (y
119
+ 12y
118
+ ··· − 5057068y −358801)
c
3
, c
8
(y
26
− 7y
25
+ ··· − 15y + 1)
· (y
119
− 92y
118
+ ··· + 14237696y −65536)
c
5
(y
26
− y
25
+ ··· − 12y + 1)
· (y
119
− 30y
118
+ ··· + 3233514855y −44315649)
c
6
, c
7
, c
11
(y
26
+ 25y
25
+ ··· + 4y + 1)(y
119
+ 120y
118
+ ··· + 91y −1)
c
9
(y
26
+ 21y
25
+ ··· − 26y + 1)(y
119
+ 32y
118
+ ··· − 17664y −1024)
c
10
(y
26
+ 2y
25
+ ··· − 14y + 1)
· (y
119
− 59y
118
+ ··· + 46085256831797y −115117025521)
c
12
(y
26
+ 21y
25
+ ··· + 65y + 1)
· (y
119
+ 60y
118
+ ··· − 19447210016610y −1202160937761)
24
